QUESTION IMAGE
Question
- predict what you would see if you are able to measure the temperature of the iron block and brick block as you supply the same amount of heat to each block.
Step1: Recall heat - capacity concept
The change in temperature $\Delta T$ when heat $Q$ is added to a substance is given by $Q = mc\Delta T$, where $m$ is the mass and $c$ is the specific - heat capacity. Different substances have different specific - heat capacities. Iron has a lower specific - heat capacity ($c_{iron}\approx0.45\ J/(g\cdot^{\circ}C)$) compared to brick (approximate specific - heat capacity of brick $c_{brick}\approx0.84\ J/(g\cdot^{\circ}C)$).
Step2: Analyze temperature change
If the same amount of heat $Q$ is added to two objects with the same mass $m$, from $Q = mc\Delta T$, we can solve for $\Delta T=\frac{Q}{mc}$. Since $Q$ and $m$ are the same, the object with the lower specific - heat capacity will have a larger temperature change. So the iron block will have a higher temperature than the brick block.
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The iron block will have a higher temperature than the brick block.